University of Cambridge > > Mathematical Physics Seminar > Elizabethan vortices

Elizabethan vortices

Add to your list(s) Download to your calendar using vCal

  • UserMaciej Dunajski (DAMTP)
  • ClockTuesday 18 October 2022, 16:00-17:00
  • HouseMR11.

If you have a question about this talk, please contact Professor Maciej Dunajski.

Abelian vortices are solitons in two space dimensions, with finite core size.

I will explain how radial solutions to the sinh–Gordon equation and the elliptic Tzitzeica equation can be interpreted as abelian vortices on certain surfaces of revolution. These surfaces have a conical excess angle at infinity (in a way which makes them similar to Elizabethan ruff collars, or certain green algae). They can not be embedded in the Euclidean 3-space but can be globally embedded in the hyperbolic space. I will show pictures of these embeddings, and discuss their existence which follows from the asymptotic analysis of a Painleve III ODE .

This talk is part of the Mathematical Physics Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2023, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity